AP®︎ Calculus BC: Topic 9.1 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 9.1 of AP Calculus BC – Defining and Differentiating Parametric Equations.


Questions List

Topic 9.1

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Question 1 Easy

A curve is defined by x=t2+1x=t^2+1 and y=t3−2ty=t^3-2t. What point is on the curve when t=−2t=-2?

A(−2,−4)(-2,-4)
B(5,−12)(5,-12)
C(5,−4)(5,-4)
D(−2,−12)(-2,-12)

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Calculus BC Curriculum. Ensure you’re prepared for the exact topics covered on the AP® exam, in-class tests, and quizzes, and gain confidence in your mastery of the material.

Topic 9.1: Defining and Differentiating Parametric Equations

Learning Objective: CHA-3.G

Calculate derivatives of parametric functions.

Essential Knowledge: CHA-3.G.1

Methods for calculating derivatives of real-valued functions can be extended to parametric functions.

Essential Knowledge: CHA-3.G.2

For a curve defined parametrically, the value of dy/dx at a point on the curve is the slope of the line tangent to the curve at that point. dy/dx, the slope of the line tangent to a curve defined using parametric equations, can be determined by dividing dy/dt by dx/dt, provided dx/dt does not equal zero.